What is the 3183rd prime number?
The 3183rd prime number is 29297. The next prime is 29303 (a gap of 6) and the one before is 29287.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 3183rd one is 29297.
- 2
29297 is prime because no prime up to ā29297 ā 171.16 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 3183rd prime is close to 3183 Ć ln(3183) ā 25673, and here it is 29297.
- 4
29297 has no twin: neither 29295 nor 29299 is prime.
Primes around the 3183rd
| Position | Prime | Gap from the previous |
|---|---|---|
| 3180 | 29251 | 8 |
| 3181 | 29269 | 18 |
| 3182 | 29287 | 18 |
| 3183 | 29297 | 10 |
| 3184 | 29303 | 6 |
| 3185 | 29311 | 8 |
| 3186 | 29327 | 16 |
Questions
What is the 3183rd prime number?
29297.
Which prime number is 29297?
29297 is the 3183rd prime number.
What is the sum of the first 3183 primes?
43,838,866.